Worksheets[Algebra 2] Sem 2 Midterm Review
Total questions: 38
Worksheet time: 7hrs 49mins
Name
Class
Date
1.
What is the base of the logarithm:
log2(16) = 4 ?
log2(16) = 4 ?
a)
2
b)
10
c)
16
d)
4
2.
What is the base of the logarithm:
log(100) = 2 ?
log(100) = 2 ?
a)
2
b)
10
c)
e
d)
50
3.
What is the base of the logarithm:
ln(8) = 2.08 ?
ln(8) = 2.08 ?
a)
e
b)
10
c)
2.08
d)
8
4.
Re-Write the Exponential Equation into Logarithmic Form
5x = 625
5x = 625
a)
x = log5625
b)
log5x = 625
c)
5 = logx625
d)
log5x = 625
5.
Re-Write the Exponential Equation into Logarithmic Form
ek = 7.39
ek = 7.39
a)
ln (7.39) = k
b)
ln (7.39) = e
c)
log (7.39) = k
d)
log (e) = 7.39
6.
Re-Write the Exponential Equation into Logarithmic Form
3-5 = 1/243
3-5 = 1/243
a)
log3(1/243) = -5
b)
log3(1/243) = 5
c)
log3(243) = -5
d)
log3(-5) = 243
7.
Re-Write the Logarithm Equation into Exponential Form
ln (5) = 1.6
ln (5) = 1.6
a)
e5 = 1.6
b)
e1.6 = 5
c)
1.65 = e
d)
5e = 1.6
8.
Re-Write the Logarithm Equation into Exponential Form
log (c) = 5
log (c) = 5
a)
c = 105
b)
c = 510
c)
5c = 10
d)
c5 = 10
9.
Re-Write the Logarithm Equation into Exponential Form
log3243 = 5
log3243 = 5
a)
243 = 35
b)
243 = 53
c)
3 = 2435
d)
243 = 53
10.
a)
5log6(a) + 6log6(c) − 30log6(b)
b)
log6(a) + 6log6(c) − 5log6(b)
c)
6log6(a) − 6log6(c) − 30log6(b)
d)
6log6(a) + 6log6(c) − 30log6(b)
11.
a)
log(x) + log(z) + 4log(y)
b)
3log(x) − log(z) − 4log(y)
c)
3log(x) + log(z) + 4log(y)
d)
log(x) − 4log(z) − 3log(y)
12.
a)
60 log(ab)
b)
6log(a) + log(b)
c)
log(a) - 30 log(b)
d)
6log(a) + 30 log(b)
13.
a)
log (xy3)
b)
log (x6 − y3)
c)
log (x6/y3)
d)
log (x6 + y3)
14.
a)
log8(a2/cb3)
b)
log8(ca2/b3)
c)
log8(a2cb3)
d)
log(a2 − c − b3)
15.
Solve the Exponential Equation
a)
1.82
b)
3.17
c)
3.05
d)
1.63
16.
Solve the Exponential Equation
a)
-1.12
b)
-1.16
c)
-0.64
d)
-2.10
17.
Solve the Logarithm Equation
a)
-6.16
b)
-5.11
c)
8.03
d)
-3.51
18.
Solve the Logarithm Equation
a)
6
b)
-3.99
c)
9.01
d)
-5.33
19.
Solve the Logarithm Equation
a)
-1.44
b)
12
c)
-8
d)
-4
20.
Solve the Logarithm Equation
a)
-5
b)
333.33
c)
11
d)
107
21.
a)
- 8.75
b)
4.06
c)
19.2
d)
- 3.34
22.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
23.
What type of function is f(x) = 2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
24.
What is the asymptote for the graph of
f(x)= -2(3)x+4 - 8 ?
f(x)= -2(3)x+4 - 8 ?
a)
y = 8
b)
y = -8
c)
x = -8
d)
x = -4
25.
Find the asymptote for the following.
a)
x = -1
b)
x = 1
c)
y = 5
d)
y = -5
26.
What is the Range of the function?
a)
y < -4
b)
y > -4
c)
y > 3
d)
y < 3
27.
Tony made a $200,000 bank investment that grew yearly at a rate of 3.5%. How much should Tony expect his investment to be after 10 years?
a)
$282,120
b)
$312,145
c)
$214,877
d)
$277,175
28.
Johnny purchased a car 6 years ago. The car depreciates at an annual rate of 7.2%. The car is worth $55,000 today. About how much was the value of the car when he originally purchased it?
a)
$75,124
b)
$86,114
c)
$96,354
d)
$106,651
29.
Adam purchased a $230,000 studio home in 2009. The home value increased by 4.3% each year. What is the value of Adam's studio home in 2014?
a)
$283,890
b)
$242,900
c)
$233,890
d)
$280,120
30.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
31.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the percentage increase of the population annually?
a)
720,500%
b)
102.2%
c)
2.2%
d)
22%
32.
Which of the following functions shows an initial amount of $65 and an increase of 23% each year?
a)
y = 65(0.23)x
b)
y = 65(1.23)x
c)
y = 65(0.77)x
d)
y = 23(1.65)x
33.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
34.
Paul's total cost of paying his car loan was $150,000 after 6 years. The car loan accrued 8% interest compounded semi-annually. About how much was the original value of the car loan?
a)
$93,690
b)
$97,644
c)
$103,140
d)
$112,647
35.
Dwayne Johnson's investment of $200,000 acrued 4.2% interest compounded continuously. About how much money does he expect to receive after 5 years?
a)
$128,660
b)
$166,280
c)
$246,736
d)
$250,354
36.
Tyrese Gibson owes $100,000 for a loan which gained 11% interest compounded continuously for 2 years. About how much money did he original borrow?
a)
$80,251
b)
$107,235
c)
$124,600
d)
$88,123
37.
a)
$743
b)
$1,015
c)
$1,213
d)
$1,741
38.
a)
$55,564
b)
$395,565
c)
$423,184
d)
$626,832
100 %
